Altitude - Geometry, Math Dictionary

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Altitude of a Triangle Apex Height Polygon Side Vertex

Altitude
Definition of Altitude

Altitude of a geometric figure is the shortest distance from its top (vertex) to its opposite side (base).

Examples of Altitude

Solved Example on Altitude

Identify the altitude.

Choices:
A. AB
B. BC
C. GF
D. AH
Correct Answer: D
Solution:
Step 1: Altitude of geometric figure is the shortest distance from its top (vertex) to its opposite side (base).
Step 2: So, the altitude of the figure is AH.

Related Terms for Altitude

Altitude of a Triangle
Apex
Height
Polygon
Side
Vertex

Additional Links for Altitude

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MIssissippi Assessment Curriculum - 2006 > Geometry > Geometry - Investigate, apply, and prove properties and theorems from postulates and definitions related to angles, lines, circles, polygons, and two- and three-dimensional figures. Explore applications of patterns and transformational Geometry. > 3.f-Identify and investigate altitude, median, angle bisectors, and perpendicular bisectors of triangles.

Ohio Assessment Curriculum - 2006 > Benchmark - Algebra II > Geometry > 2-Use standard language to define geometric vocabulary: vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse and other vocabulary as appropriate.

Ohio Assessment Curriculum - 2006 > Grade 6 > Geometry > 2-Use standard language to define geometric vocabulary: vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse and other vocabulary as appropriate.

New York Assessment Curriculum - 2006 > Geometry > Geometry > G.G.12-Know and apply that the volume of a prism is the product of the area of the base and the altitude.

New York Assessment Curriculum - 2006 > Geometry > Geometry > G.G.13-Apply the properties of a regular pyramid, including: lateral edges are congruent, lateral faces are congruent isosceles triangles, and volume of a pyramid equals one-third the product of the area of the base and the altitude.

New York Assessment Curriculum - 2006 > Geometry > Geometry > G.G.14-Apply the properties of a cylinder, including: bases are congruent, volume equals the product of the area of the base and the altitude, and lateral area of a right circular cylinder equals the product of an altitude and the circumference of the base.

New York Assessment Curriculum - 2006 > Geometry > Geometry > G.G.15-Apply the properties of a right circular cone, including: lateral area equals one-half the product of the slant height and the circumference of its base and volume is one-third the product of the area of its base and its altitude.

New York Assessment Curriculum - 2006 > Geometry > Geometry > G.G.47-Investigate, justify, and apply theorems about mean proportionality: the altitude to the hypotenuse of a right triangle is the mean proportional between the two segments along the hypotenuse, the altitude to the hypotenuse of a right triangle divides the hypotenuse so that either leg of the right triangle is the mean proportional between the hypotenuse and segment of the hypotenuse adjacent to that leg.

Kansas Assessment Curriculum - 2006 > Grade 7 > Geometric Figures and Their Properties – The student recognizes geometric figures and compares their properties in a variety of situations. > 3.1.4-The student identifies and describes: a: the altitude and base of a rectangular prism and triangular prism, b: the radius and diameter of a cylinder.

NCERT Assessment Curriculum 2007 > Benchmark - Algebra II > Basic geometrical ideas (2 -D):Introduction to geometry. Its linkage with and reflection ineveryday experience. > Triangle — vertices, sides, angles, interior and exterior, altitude and median

NCERT Assessment Curriculum 2007 > Grade 6 > Basic geometrical ideas (2 -D):Introduction to geometry. Its linkage with and reflection ineveryday experience. > Triangle — vertices, sides, angles, interior and exterior, altitude and median

NCERT Assessment Curriculum - 2007 > Benchmark - Algebra II > Basic geometrical ideas (2 -D) - Introduction to geometry. Its linkage with and reflection ineveryday experience. > Triangle — vertices, sides, angles, interior and exterior, altitude and median

NCERT Assessment Curriculum - 2007 > Grade 6 > Basic geometrical ideas (2 -D) - Introduction to geometry. Its linkage with and reflection ineveryday experience. > Triangle — vertices, sides, angles, interior and exterior, altitude and median

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